Question

Residue of $\dfrac{z^{1/4}}{z+1}$ at $ z = -1$.

score 330 · Answer 1 · 2020-03-29 12:53:23

330

Views

Residue of $\dfrac{z^{1/4}}{z+1}$ at $ z = -1$.

Published on 29 Mar 2020 - 12:53

score 238 · Answer 2 · 2020-03-29 16:19:34

238

Views

Residue of pole of order $3$

Published on 29 Mar 2020 - 16:19

score 96 · Answer 3 · 2026-03-30 02:08:56

96

Views

Calculating the residue of the function $f(z)=\frac{\mathrm{e}^z}{z^2}$ in the point $z=0$ straight from the definition.

Published on 30 Mar 2026 - 2:08

score 76 · Answer 4 · 2026-03-30 02:06:27

76

Views

$\int_0^{2 \pi} \frac{1}{|e^{i \theta}-a|^2} d \theta $

Published on 30 Mar 2026 - 2:06

score 74 · Answer 5 · 2026-03-28 12:48:31

74

Views

Laurent series and computing contour integral

Published on 28 Mar 2026 - 12:48

score 186 · Answer 6 · 2026-03-30 02:07:54

186

Views

Residue of pole of very high order

Published on 30 Mar 2026 - 2:07

score 54 · Answer 7 · 2026-03-26 01:12:37

54

Views

$\int_{0}^{e}\frac{\sin(\operatorname{W(x)})-1}{\sin(\operatorname{W(x)})+1}\frac{\sin(\operatorname{2W(x)})-1}{\sin(\operatorname{2W(x)})+1}dx=?$

Published on 26 Mar 2026 - 1:12

score 103 · Answer 8 · 2026-03-25 04:42:41

103

Views

A series expansion formula for the residues of a function having an infinite number of poles

Published on 25 Mar 2026 - 4:42

score 44 · Answer 9 · 2026-03-26 12:05:00

44

Views

Question about complex integration over half circle (not closed)

Published on 26 Mar 2026 - 12:05

score 45 · Answer 10 · 2020-04-05 19:33:12

45

Views

Limit of contour integral involving polynomial

Published on 05 Apr 2020 - 19:33

score 39 · Answer 11 · 2020-04-07 13:05:32

39

Views

$f: D \to \mathbb{C}, z \to \frac{1}{1+z^3}$ and $\int_{\gamma} f(z) \mathrm{d}z$ - is my argument correct?

Published on 07 Apr 2020 - 13:05

score 195 · Answer 12 · 2026-03-28 14:44:07

195

Views

This is a three part question. 1) Compute a Laurent series for 1/Log(z) centered at z=1 where Log(z) is the principal branch of the log function.

Published on 28 Mar 2026 - 14:44

score 100 · Answer 13 · 2020-04-10 11:57:02

100

Views

How to solve $\int_{0}^{\infty} \frac{\sin^2 \frac{x}{2}}{x^p} dx$ with $1<p<3$

Published on 10 Apr 2020 - 11:57

score 84 · Answer 14 · 2020-04-11 15:53:09

84

Views

How do I use residues to evaluate this integral

Published on 11 Apr 2020 - 15:53

score 45 · Answer 15 · 2026-03-26 13:49:38

45

Views

On complex integration

Published on 26 Mar 2026 - 13:49

List Question

Residue of $\dfrac{z^{1/4}}{z+1}$ at $ z = -1$.

Residue of pole of order $3$

Calculating the residue of the function $f(z)=\frac{\mathrm{e}^z}{z^2}$ in the point $z=0$ straight from the definition.

$\int_0^{2 \pi} \frac{1}{|e^{i \theta}-a|^2} d \theta $

Laurent series and computing contour integral

Residue of pole of very high order

$\int_{0}^{e}\frac{\sin(\operatorname{W(x)})-1}{\sin(\operatorname{W(x)})+1}\frac{\sin(\operatorname{2W(x)})-1}{\sin(\operatorname{2W(x)})+1}dx=?$

A series expansion formula for the residues of a function having an infinite number of poles

Question about complex integration over half circle (not closed)

Limit of contour integral involving polynomial

$f: D \to \mathbb{C}, z \to \frac{1}{1+z^3}$ and $\int_{\gamma} f(z) \mathrm{d}z$ - is my argument correct?

This is a three part question. 1) Compute a Laurent series for 1/Log(z) centered at z=1 where Log(z) is the principal branch of the log function.

How to solve $\int_{0}^{\infty} \frac{\sin^2 \frac{x}{2}}{x^p} dx$ with $1<p<3$

How do I use residues to evaluate this integral

On complex integration

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